Question

Using a ruler and a pair of compasses only,construct
(i) a triangle ABC ,given AB=4cm,BC=6 cm and angle ABC=90°.
(ii) a circle which passes through the points A,B and C and mark its centre as O.

Answer 1

O is centre of circle.
Hope it will help you.

Answer 2

Triangle ABC is constructed  AB=4cm,BC=6 cm and angle ABC=90°

Step-by-step explanation:

Step 1 : Draw a line segment AB = 4 cm   and extend till X

Step 2 :  Using Compass Draw arc taking B as center intersecting at P & Q on AB & BX

Step 3 : Increasing compass width slightlytaking P as center Draw an arc

Step 4 : Keeping compass width same as in step 3 , draw arcs taking Q as center such that it intersects arc drawn in step 3 at R

Step 5 : Draw a line from B passing through R  and taking length = 3 cm and label other end as C

Step 6 : join AC

Step 7 : Cosntrcu perpendicular  Bisector of AC at O

Step 8 : Taking O as center and radius = OA = OB = OC , draw an circle

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